Calculus of Variations and Geometric Measure Theory

M. Negri

Energy release rate along a kinked path

created by negri on 13 Apr 2010
modified on 18 Feb 2011


Published Paper

Inserted: 13 apr 2010
Last Updated: 18 feb 2011

Journal: Math. Meth. Appl. Sci.
Volume: 34
Pages: 384-396
Year: 2011


Considering anti-plane elasticity we provide an existence result for the energy release rate along a piecewise $C^{1,1}$ path that admits kinks. We provide two representations: an asymptotic one in terms of the stress intensity factor and an integral one in terms of the Eshelby tensor. Both the formulas make use of an implicit coefficient, depending on the crack path and obtained by a minimum problem.